Water Evaporator and Condenser Equations

Total heat load:

h = c_p ρ q dt

= 500 q dt                                          (1)

where

h = heat load (Btu/h)

c_p = 1 (Btu/lb_m ^oF) for water

ρ = 8.33 (lb_m/gal) for water

q = water volume flow rate (gal/min)

dt = temperature difference (^oF)

Evaporator water flow rate can be expressed as

q_evap = 24 h_evap / dt                                         (2)

where

q_evap = evaporator water flow rate (gallons per minute - gpm)

h_evap = air condition load ( 1 refrigeration ton = 1 TONS_cond = 12,000 Btu/h = 200 Btu/min = 3,025.9 k Calories/h = 12,661 kJ/h = 3517 kJ/s = 3517 kW = 4713 HP)

Condenser water flow rate can be expressed as

q_cond = 30 h_cond / dt                                         (3)

where

q_cond = condenser water flow rate (gallons per minute - gpm)

h_cond = air condition load, chiller tonnage ( 1 cooling tower ton = 1 TONS_evap = 1 TONS_cond × 1.25 = 15,000 Btu/h = 3,782 k Calories/h = 15,826 kJ/h)